Acceleration Techniques

Topics:

• Complexity of brute-force algorithm
• Arvo and Kirk's taxonomy of acceleration techniques
• Generalized rays
• Bounding volumes
• Uniform grids
• Grid construction heuristics
• Grid traversal algorithm
• Mailboxing
• Spatial Hierarchies: kd-tree, octtree, bsp-tree
• Constructing spatial hierarchies
• Median-cut algorithm
• Crofton's theorem
• Ray traversal through spatial hierarchies
• Hierarchical grids
• Hierarchical bounding volumes